It seems silly to me that a non-GFCI receptacle would be permitted in an unfinished basement to feed these loads, but would not be permitted in a crawl-space where it is even less likely to be used for an appliance other than the one intended. I'd give odds that the CMP simply missed applying the same exceptions to crawlspaces as are applied to basements.
That said, so called nusiance tripping really means 'some level of leakage current is happening, but not enough to care about', for some definition of care about. These appliances in good repair _shouldn't_ trip a GFCI, and if the GFCI is tripping, then the appliance should probably be repaired or replaced.
But on the third hand

I had a flooded basement at my house that was directly related to the GFCI. We lost power for most of the day in a storm, and the basement flooded to over the level of the motor. The motor itself was an open frame design, with windings visible inside of air holes. Needless to say, with windings and terminals under water, there was leakage and the GFCI tripped. After a portable pump failed, and under a severe time limit, and acting rather stupidly, I said the hell with it and got the pump plugged into a non-GFCI outlet. The motor ran (submerged!), the pump worked, and very quickly the basement was drained. In this instance, the GFCI probably created a greater safety hazard than it prevented; had the pump been plugged into a non-GFCI receptacle, it would have simply worked.
-Jon